Find a Polar Equation of the Conic with Focus at the Pole

question 2

Multiple Choice

Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix. $e = 4 , \quad r = - 2 \csc \theta$

• A) \(r = \frac { 8 } { 1 - 4 \sin \theta }\)
• B) \(r = \frac { 8 } { 2 + \sin \theta }\)
• C) \(r = \frac { 8 } { 1 - 4 \cos \theta }\)
• D) \(r = \frac { 2 } { 4 + \cos \theta }\)
• E) \(r = \frac { 8 } { 1 + 4 \sin \theta }\)

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Definitions:

T Value

A calculated value from a t-test used to compare the differences between means in relation to the variation in sample data.

Sample Size

The number of observations or data points collected in a study or used in a statistical analysis.

Interval Estimate

An estimate of a population parameter that provides a range of values, defined by lower and upper bounds, that is likely to contain the parameter of interest.

Z Value

A statistic indicating how many standard deviations an element is from the mean in a normal distribution.